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Finding the Third Proportional to 99,648 and 218,880

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Solution

The third proportional to 99,648 and 218,880 is: 480,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648 : 218,880 = 218,880 : x
  2. Step 2: Convert to fraction form
    99,648/218,880 = 218,880/x
  3. Step 3: Cross multiply
    99,648x = 218,880 × 218,880
  4. Step 4: Simplify right side
    99,648x = 47,908,454,400
  5. Step 5: Solve for x
    x = 47,908,454,400/99,648
  6. Step 6: Final answer
    x = 480,776.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.